[PDF] Top 20 1. Triple fixed points in ordered uniform spaces

... tripled fixed point theorems in uniform spaces as natural extensions of tripled fixed point theorems, which have been recently exposed by many authors (see [7], [8] and the references given ... See full document

... metric spaces and have established fixed point theorems for a contractive type map in a normal cone metric ...common fixed points of a finite self maps satisfying a contractive condition in ... See full document

... (0, 1)}, let (a, b) (c, d) if and only if a ≤ c and b ≤ d, and let p be the Euclidean ...of points in X are x x for x ∈ X and then M (x, x) = 0 and p(T x, T x) = 0, hence the condition ψ(p(f x, f y)) ≤ α(M ... See full document

... This manuscript has two aims: first we extend the definitions of compatibility and weakly reciprocally continuity, for a trivariate mapping F and a self-mapping g akin to a compatible mapping as introduced by Choudhary and ... See full document

... then conclusions of both Theorems 1 and 2 remain valid. Thus, “ordered” versions of several generalized contraction theorems proved recently are obtained. In particular, the case of the set {d(gx, gy)} ... See full document

... LB: Fixed points of weakly contraction ...fixed points for maps on topological ...fixed points of nonlinear contractions. Acta Math. Hung. 80(1-2), 31-38 ... See full document

... In this paper, we generalize some main results of (Jachymski in Proc. Am. Math. Soc. 136:1359-1373, 2008) from metric to uniform spaces endowed with an E -distance and a graph using a new type of ... See full document

... common fixed points of mappings satisfying certain contractive conditions has been researched extensively by many mathematicians since fixed point theory plays a major role in mathematics and applied ... See full document

... Theorem . [] Let (X, ≤ ) be a partially ordered set and suppose that there is a metric d on X such that (X, d) is a complete metric space. Let F : X × X → X be a continuous mapping having the mixed monotone ... See full document

... coupled fixed point is introduced by Bhaskar and Lakshmikantham [9] and studied some fixed point theorems in partially ordered metric ...coupled fixed point theorems in partially ... See full document

... fixed points of F (x is a fixed point of F if F (x, x) = ...common fixed point theorems for nonlinear contractive mappings F : X × X → X and g : X → X in partially ordered metric ... See full document

... Lemma 1 and Theorem 1 above, we are now in a position to formulate the following new statements and facts as direct consequences of the Axiom of Infinite ...Corollary 1 (Tasković [4, p. 244]) Let P := ... See full document

... for n > N . The result of the lemma follows from inequalities (1.14) and (1.17). Remark 1.2 . If we replace the uniform space (X, ᐁ ) in Lemma 1.1 by a metric space (i.e., a metrizable uniform space), ... See full document

... Hilbert spaces and established a fixed point theorem for such mappings, Dutta and Choud- hury [13]generalized the weak contractive condition and proved a fixed point theorem for a self- mapping, ... See full document

... metric spaces, Mustafa et ...fixed points in generalized metric spaces was initi- ated by Abbas and Rhoades [] (see also [] and ...fixed points in generalized metric spaces, we refer to ... See full document

... common fixed points in a uniform space whose uniformity is generated by a family of ...vector spaces being completely regular are uniformizable, where the uniformity of the space is induced by ... See full document

... unique fixed point and that in Theorem ...a fixed point which implies that Theorem ...a fixed point which implies that Theorem ...metric spaces (X, d), w-distances [9] and τ-distances [10] ... See full document

... “Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming,” Journal of Mathematical Analysis ... See full document

... of 1-or 2-dimensional functions and estab- lish the implicit contractive conditions determined by { C ∗ , Φ ∗ u , Φ ∗ u } about two mappings, and then discuss the existence problems of common fixed ... See full document

... Example 1.2. [1] Let (X, d) be a metric space and ρ(x, y) = (d(x, y)) p , where p ≥ 1 is a real number. Then ρ is a b-metric with s = 2 p−1 . However, (X, ρ) is not necessarily a metric space. For ... See full document